Multistep inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8. Then divide by 2: x < 4.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals, such as (a, b) or [a, b].

Front

What does the interval notation [-5, ∞) represent?

Back

It represents all real numbers greater than or equal to -5.

Front

How do you graph the inequality x < 1 on a number line?

Back

Draw an open circle at 1 and shade to the left.

Front

What is the solution to the inequality -3 - 6(4x + 6) > -111?

Back

x < 3.

Front

What is the first step in solving the inequality -8(x - 3) - 4x < 108?

Back

Distribute -8: -8x + 24 - 4x < 108.

Front

What does it mean to isolate the variable in an inequality?

Back

To isolate the variable means to get the variable on one side of the inequality by performing inverse operations.